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Ground State Properties of Graphene In Hartree-Fock Theory

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journal contribution
posted on 03.12.2013, 00:00 by Christian Hainzl, Mathieu Lewin, Christof Sparber
We study the Hartree-Fock approximation of graphene in in - nite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the e ective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric eld. All our results are non perturbative.

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Publisher Statement

This is a copy of an article published in the Journal of Mathematical Physics © 2012 American Institute of Physics. The final publication is available at http://jmp.aip.org/

Publisher

American Institute of Physics

Language

en_US

issn

0022-2488

Issue date

01/09/2012

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